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math.AG2026
The effective cone conjecture for Calabi--Yau pairs
Cécile Gachet, Hsueh-Yung Lin, Isabel Stenger +1
We formulate an effective cone conjecture for klt Calabi--Yau pairs , pertaining to the structure of the cone of effective divisors modulo the action of t…
math.AG2025
Dynamical Iitaka theory on Fano contractions
Sheng Meng, Long Wang, Tianle Yang
We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application…
math.AG2024
Arithmetic degrees and Zariski dense orbits of cohomologically hyperbolic maps
Yohsuke Matsuzawa, Long Wang
A dominant rational self-map on a projective variety is called -cohomologically hyperbolic if the -th dynamical degree is strictly larger than other dynamical degrees. For su…